In the given figure, there are two right angled triangles.
Area of triangle = 1/2 × b × h
Area of shaded region = area of larger triangle - area of smaller triangle
= 1/2 × 15 × 18 - 1/2 × 8 × 9
= 135 - 36
= 99 ft^2
Thus, area of shaded region is 99 ft^2.
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.
Answer:
14.25 ft
Step-by-step explanation:
1 inch of the model represents 18 inches of the real car. The car's dimensions are 18 times larger than the model's dimensions. Multiply the model dimension by 18 to find the corresponding real dimension.
9 1/2 * 18 = 9.5 * 18 = 171
The actual car is 171 inches long.
Now we need to convert 171 inches to ft.
1 ft = 12 in.
Since we want to eliminate inches and end up with feet, we divide both sides by 12 in.
(1 ft)/(12 in.) = 1
The conversion factor is (1 ft)/(12 in.) to go from inches to feet.
171 in. * (1 ft)/(12 in.) = 14.25 ft
Answer: 14.25 ft
